Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528a |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1735174711296 = -1 · 211 · 36 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -2 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2733,31502] |
[a1,a2,a3,a4,a6] |
j |
1512116062/1162213 |
j-invariant |
L |
1.0754770470652 |
L(r)(E,1)/r! |
Ω |
0.53773852353261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43056d1 2392a1 |
Quadratic twists by: -4 -3 |